This paper investigates the stability of power systems with load frequency control considering time delays (constant and time-varying delays). A new criterion for ensuring the stability of the system is proposed on the basis of Lyapunov stability theory and a further strengthened inequality. Finally, taking a single-area load frequency control scheme with the proportional-integral controller as an example, according to the stability criterion obtained, the relationship between the maximum allowable delay and the gain of proportional-integral controller is discussed. Besides, in case studies, the effectiveness of our method is also demonstrated.

中文翻译：

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延迟负载频率控制电力系统稳定性分析的改进结果

本文研究了考虑时间延迟（恒定和时变延迟）的带有负载频率控制的电力系统的稳定性。在李雅普诺夫稳定性理论的基础上，提出了确保系统稳定性的新准则，并进一步增强了不等式。最后，以比例积分控制器的单区域负载频率控制方案为例，根据获得的稳定性判据，讨论了最大允许延迟与比例积分控制器增益之间的关系。此外，在案例研究中，还证明了我们方法的有效性。